Aristotle - The Organon - index for ANALYTICA PRIORIA Book 1 Part 21

One premiss pure, the other problematic

Paragraph 1 If one premiss is pure, the other problematic, the conclusion will be problematic, not pure;
Paragraph 2 If one of the premisses is universal, the other particular, then when both are affirmative, or when the universal is negative, the particular affirmative, we shall have the same sort of syllogisms:
Paragraph 3 Whenever both premisses are indefinite or particular, no syllogism will be possible.

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